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40043312000 = 275311032269
BaseRepresentation
bin100101010010110001…
…000111001110000000
310211100200120000101122
4211102301013032000
51124002041441000
630221243051412
72615211351566
oct452261071600
9124320500348
1040043312000
1115a89450a8a
127916510b68
133a12038773
141d1c243a36
1510956e0085
hex952c47380

40043312000 has 128 divisors (see below), whose sum is σ = 99691862400. Its totient is φ = 15995750400.

The previous prime is 40043311933. The next prime is 40043312011. The reversal of 40043312000 is 21334004.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 40043312000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17646866 + ... + 17649134.

It is an arithmetic number, because the mean of its divisors is an integer number (778842675).

Almost surely, 240043312000 is an apocalyptic number.

40043312000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40043312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49845931200).

40043312000 is an abundant number, since it is smaller than the sum of its proper divisors (59648550400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40043312000 is a wasteful number, since it uses less digits than its factorization.

40043312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 40043312000 its reverse (21334004), we get a palindrome (40064646004).

The spelling of 40043312000 in words is "forty billion, forty-three million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1103 1600 2000 2206 2269 3200 4000 4412 4538 5515 8000 8824 9076 11030 11345 16000 17648 18152 22060 22690 27575 35296 36304 44120 45380 55150 56725 70592 72608 88240 90760 110300 113450 137875 141184 145216 176480 181520 220600 226900 275750 283625 290432 352960 363040 441200 453800 551500 567250 705920 726080 882400 907600 1103000 1134500 1452160 1764800 1815200 2206000 2269000 2502707 3529600 3630400 4412000 4538000 5005414 7260800 8824000 9076000 10010828 12513535 17648000 18152000 20021656 25027070 36304000 40043312 50054140 62567675 80086624 100108280 125135350 160173248 200216560 250270700 312838375 320346496 400433120 500541400 625676750 800866240 1001082800 1251353500 1601732480 2002165600 2502707000 4004331200 5005414000 8008662400 10010828000 20021656000 40043312000